Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864h |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
163888853686272 = 211 · 316 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81504,8907732] |
[a1,a2,a3,a4,a6] |
Generators |
[174:156:1] |
Generators of the group modulo torsion |
j |
29237205357427394/80023854339 |
j-invariant |
L |
4.320854245638 |
L(r)(E,1)/r! |
Ω |
0.57600916266686 |
Real period |
R |
0.93767046726152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3432g5 27456br6 20592n5 75504r6 |
Quadratic twists by: -4 8 -3 -11 |